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3 years ago

Simplify. cos^2[(pi/2) - x] + cos^2[(pi/2) - x] + cos^2x

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

5 0

Numerator
cos(π/2−x)=cos(π/2)cosx+sin(π/2)sinx

now cos(π/2)=0 and sin(π/2)=1

simplifies to : 0 + sinx = sinx

Denominator

sin(π/2−x)=sin(π/2)cosx+cos(π/2)sinx

simplifies to : cosx + 0 = cosx

⇒cos(π/2−x)sin(π/2−x)=sinx/cosx=tanx

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LAST ATTEMPT! MARKING AS BRAINLIEST!! ( simplifying radicals)

serious [3.7K]

$\huge \bf༆ Answer ༄$

Let's solve ~

$\qquad \looparrowright \sf - 7 \sqrt{80 {x}^{4} y {}^{2} }$

$\qquad \looparrowright \sf - 7 \sqrt{2 {}^{4} \times 5 \times {x}^{4} \times {y}^{2} }$

$\qquad \looparrowright \sf - 7 \times {2}^{2} \times {x}^{2} \times y \times \sqrt{5}$

$\qquad \looparrowright \sf - 28 {x}^{2} y \sqrt{5}$

Therefore, Option D is correct ~

8 0

2 years ago

210 balloons are filled for a reception this is 70% of the entire number balloons purchased which equation can be used to find t

Yuri [45]

Answer:

300 balloons.

Step-by-step explanation:

Given:

210 balloons are filled for a reception this is 70% of the entire number balloons purchased.

Question asked:

Which equation can be used to find the total number of balloons purchased ?

Solution:

Let total number of balloons purchased = $x$

70% of the number of balloons purchased = 210

$\frac{70}{100} \times x=210\\ \\ \frac{7x}{10} =210\\ \\ By\ cross\ multiplication\\ \\ 7x=210\times10\\ \\7x=2100\\\\ By\ dividing\ both\ sides\ by\ 7\\ \\ \frac{7x}{7} =\frac{2100}{7} \\ \\ x=300$

Therefore, total number balloons purchased was 300.

3 0

3 years ago

Solve for the base. Round to hundredths when necessary.

Elena-2011 [213]

Answer:

2730.54
18.8%
62.5% (decrease)

Step-by-step explanation:

The applicable formula is ...

rate = portion/base

so ...

base = portion/rate

Of course, a percentage is a fraction that has been multiplied by 100%.

1. base = portion/rate = 456/0.167 ≈ 2730.54

The base is about 2730.54.

2. rate = portion/base = 50/266 ≈ 0.18797 ≈ 18.8%

The rate is about 18.8%.

3. The decrease can be figured from ...

rate of change = (new amount)/(original) -1 = 33/88 -1

= -5/8 = -0.625 = -62.5%

The rate of decrease is 62.5%.

6 0

3 years ago

What is the slope of the line through R(2,5) and S(-1,7)

Hatshy [7]

Answer:what grade you in

Step-by-step explanation:

5 0

3 years ago

If 4.2km is 42cm on a map, what was the scale of the map?

Inessa05 [86]

Answer: I need da points

Step-by-step explanation: I’m just like that sry

8 0

3 years ago

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